146976322080 has 384 divisors, whose sum is σ = 547106144256. Its totient is φ = 32455987200.

The previous prime is 146976322019. The next prime is 146976322093. The reversal of 146976322080 is 80223679641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113846235 + ... + 113847525.

It is an arithmetic number, because the mean of its divisors is an integer number (1424755584).

Almost surely, 2^146976322080 is an apocalyptic number.

146976322080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146976322080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273553072128).

146976322080 is an abundant number, since it is smaller than the sum of its proper divisors (400129822176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146976322080 is a wasteful number, since it uses less digits than its factorization.

146976322080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 146976322080 in words is "one hundred forty-six billion, nine hundred seventy-six million, three hundred twenty-two thousand, eighty".